An operations manager is preparing a budget for 4 new branch offices. Each office requires a base funding of $x$ thousand dollars plus an additional 2 thousand dollars for initial marketing. The total funding is represented by the expression ${}4(x + 2)$. What is the simplified form of this expression after applying the distributive property?

An office manager uses the expression ${}4(x + 2)$ to calculate the total cost of ordering 4 desks ($x$) and 2 chairs for a new department. True or False: When applying the distributive property to simplify this expression, the 4 must be multiplied by both the $x$ and the 2.

A logistics coordinator is preparing 4 delivery batches. Each batch consists of $x$ standard packages and 2 fragile packages. The total number of packages is given by the expression ${}4(x + 2)$. According to the distributive property, when this expression is simplified, it results in ${}4x$ plus what specific number?

A human resources coordinator is organizing 4 training sessions. Each session requires $x$ participant manuals and 2 instructor guides. The total number of materials needed for all sessions is represented by the expression ${}4(x + 2)$. Arrange the following steps in the correct order to simplify this expression using the Distributive Property.

Applying the Distributive Property in a Project Budget

A manufacturing supervisor is calculating the total number of parts needed to produce 4 customized utility kits. Each kit requires $x$ standard brackets and 2 specialty mounting screws. The total parts required can be modeled by the expression ${}4(x + 2)$. To verify your recall of the distributive property and its application to this scenario, match each algebraic expression or term on the left with its correct description on the right.

Warehouse Logistics and Inventory Manifests